Modern Infinitesimals as a Tool to Match Intuitive and Formal Reasoning in Analysis |
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| Authors: | Robert Lutz Luis Gonzaga Luis Gonzaga |
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| Affiliation: | (1) Faculté des sciences et techniques, Université de Haute Alsace, 4 rue des Fréres Lumiére, 68093 Mulhouse Cedex, France E-mail;(2) Universidade Aberta, rua da Escola Politecnica 147, 1250 Lisboa, Portugal E-mail |
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| Abstract: | We discuss various ways, which have been plainly justified in the secondhalf of the twentieth century, to introduce infinitesimals, and we considerthe new style of reasoning in mathematical analysis that they allow. |
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